idele module

См. также в других словарях:

• Galois module — In mathematics, a Galois module is a G module where G is the Galois group of some extension of fields. The term Galois representation is frequently used when the G module is a vector space over a field or a free module over a ring, but can also… …   Wikipedia

• Class formation — In mathematics, a class formation is a structure used to organize the various Galois groups and modules that appear in class field theory. They were invented by Emil Artin and John Tate. Contents 1 Definitions 2 Examples of class formations 3 The …   Wikipedia

• NOMBRES (THÉORIE DES) - Nombres algébriques — Les mathématiciens grecs avaient découvert que certains rapports de grandeurs ne sont pas rationnels, c’est à dire qu’ils ne sont pas égaux au rapport de deux entiers: il en est ainsi du rapport de la diagonale d’un carré à son côté, puisque… …   Encyclopédie Universelle

• Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …   Wikipedia

• List of algebraic number theory topics — This is a list of algebraic number theory topics. Contents 1 Basic topics 2 Important problems 3 General aspects 4 Class field theory …   Wikipedia

• ZÊTA (FONCTION) — Issues d’un calcul formel d’Euler, la «fonction zêta» de Riemann et les «fonctions L» de Dirichlet ont été jusqu’ici les outils analytiques les plus puissants pour étudier la répartition et les propriétés des nombres premiers (cf. théorie des… …   Encyclopédie Universelle

• P-adic number — In mathematics, the p adic number systems were first described by Kurt Hensel in 1897 [cite journal | last = Hensel | first = Kurt | title = Über eine neue Begründung der Theorie der algebraischen Zahlen | journal =… …   Wikipedia

• John Tate — John Torrence Tate Jr., born March 13, 1925 in Minneapolis, Minnesota, is an American mathematician, distinguished for many fundamental contributions in algebraic number theory and related areas in algebraic geometry. He wrote a Ph.D. at… …   Wikipedia

• Galois cohomology — In mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois groups. A Galois group G associated to a field extension L / K acts in a natural way… …   Wikipedia

• p-adic number — In mathematics, and chiefly number theory, the p adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a way different from the extension of the rational number system to the real and complex number… …   Wikipedia